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Finding the Fourth Proportional to 254.50, 351.21 and 138.06

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Solution

The fourth proportional to 254.50, 351.21 and 138.06 is: 190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 351.21 = 138.06 : x
  2. Step 2: Convert to fraction form
    254.50/351.21 = 138.06/x
  3. Step 3: Cross multiply
    254.50x = 351.21 × 138.06
  4. Step 4: Simplify right side
    254.50x = 48,488.93
  5. Step 5: Solve for x
    x = 48,488.93/254.50
  6. Step 6: Final answer
    x = 190.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.